Finding the Fourth Proportional to 2,116.48, 3,174.72 and 577.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116.48 : 3,174.72 = 577.60 : x
2. Step 2: Convert to fraction form
   2,116.48/3,174.72 = 577.60/x
3. Step 3: Cross multiply
   2,116.48x = 3,174.72 × 577.60
4. Step 4: Simplify right side
   2,116.48x = 1,833,718.27
5. Step 5: Solve for x
   x = 1,833,718.27/2,116.48
6. Step 6: Final answer
   x = 866.40